34188314218704 has 80 divisors (see below), whose sum is σ = 98136139420800. Its totient is φ = 11395754578944.

The previous prime is 34188314218691. The next prime is 34188314218727. The reversal of 34188314218704 is 40781241388143.

34188314218704 is a `hidden beast` number, since 3 + 4 + 188 + 31 + 421 + 8 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13053637 + ... + 15452315.

It is an arithmetic number, because the mean of its divisors is an integer number (1226701742760).

Almost surely, 2^{34188314218704} is an apocalyptic number.

It is an amenable number.

34188314218704 is an abundant number, since it is smaller than the sum of its proper divisors (63947825202096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34188314218704 is a wasteful number, since it uses less digits than its factorization.

34188314218704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431689 (or 2431677 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 34188314218704 in words is "thirty-four trillion, one hundred eighty-eight billion, three hundred fourteen million, two hundred eighteen thousand, seven hundred four".